0.00/0.04 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.04 % Command : eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule --cpu-limit=%d %s 0.03/0.24 % Computer : n135.star.cs.uiowa.edu 0.03/0.24 % Model : x86_64 x86_64 0.03/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz 0.03/0.24 % Memory : 32218.625MB 0.03/0.24 % OS : Linux 3.10.0-693.2.2.el7.x86_64 0.03/0.24 % CPULimit : 300 0.03/0.24 % DateTime : Sat Jul 14 06:09:10 CDT 2018 0.03/0.24 % CPUTime : 0.03/0.24 # Version: 2.2pre001 0.07/0.39 # No SInE strategy applied 0.07/0.39 # Trying AutoSched0 for 151 seconds 8.92/9.15 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_AE_CS_SP_PS_S0Y 8.92/9.15 # and selection function SelectMaxLComplexAvoidPosPred. 8.92/9.15 # 8.92/9.15 # Preprocessing time : 1.131 s 8.92/9.15 # Presaturation interreduction done 8.92/9.15 8.92/9.15 # Proof found! 8.92/9.15 # SZS status Theorem 8.92/9.15 # SZS output start CNFRefutation 8.92/9.15 fof(fact_empty__def, axiom, ![X2]:hAPP(c_Set_OCollect(X2),hAPP(c_COMBK(tc_HOL_Obool,X2),c_fFalse))=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_empty__def)). 8.92/9.15 fof(fact_Collect__def, axiom, ![X21, X2]:hAPP(c_Set_OCollect(X2),X21)=X21, file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_Collect__def)). 8.92/9.15 fof(fact_Collect__neg__eq, axiom, ![X21, X2]:hAPP(c_Set_OCollect(X2),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X2),c_fNot),X21))=hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X2,tc_HOL_Obool)),hAPP(c_Set_OCollect(X2),X21)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_Collect__neg__eq)). 8.92/9.15 fof(fact_vimage__Collect__eq, axiom, ![X21, X16, X12, X2]:hAPP(c_Set_OCollect(X2),hAPP(hAPP(c_COMBB(X12,tc_HOL_Obool,X2),X21),X16))=hAPP(c_Set_Ovimage(X2,X12,X16),hAPP(c_Set_OCollect(X12),X21)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_vimage__Collect__eq)). 8.92/9.15 fof(fact_Collect__empty__eq, axiom, ![X21, X2]:(hAPP(c_Set_OCollect(X2),X21)=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))<=>![X48]:~(hBOOL(hAPP(X21,X48)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_Collect__empty__eq)). 8.92/9.15 fof(help_c__COMBK__1, axiom, ![X182, X183, X2, X4]:hAPP(hAPP(c_COMBK(X4,X2),X183),X182)=X183, file('/export/starexec/sandbox/benchmark/theBenchmark.p', help_c__COMBK__1)). 8.92/9.15 fof(fact_double__complement, axiom, ![X10, X2]:hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X2,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X2,tc_HOL_Obool)),X10))=X10, file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_double__complement)). 8.92/9.15 fof(fact_vimage__ident, axiom, ![X191, X2]:hAPP(c_Set_Ovimage(X2,X2,c_COMBI(X2)),X191)=X191, file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_vimage__ident)). 8.92/9.15 fof(fact_UNIV__def, axiom, ![X2]:hAPP(c_Set_OCollect(X2),hAPP(c_COMBK(tc_HOL_Obool,X2),c_fTrue))=c_Orderings_Otop__class_Otop(tc_fun(X2,tc_HOL_Obool)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_UNIV__def)). 8.92/9.15 fof(fact_add__eq__self__zero, axiom, ![X24, X25]:(X25=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X25),X24)=>c_Groups_Ozero__class_Ozero(tc_Nat_Onat)=X24), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_add__eq__self__zero)). 8.92/9.15 fof(fact_transfer__nat__int__numerals_I1_J, axiom, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)=hAPP(c_Int_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_transfer__nat__int__numerals_I1_J)). 8.92/9.15 fof(fact_Pls__def, axiom, c_Int_OPls=c_Groups_Ozero__class_Ozero(tc_Int_Oint), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_Pls__def)). 8.92/9.15 fof(fact_Zero__not__Suc, axiom, ![X25]:c_Groups_Ozero__class_Ozero(tc_Nat_Onat)!=hAPP(c_Nat_OSuc,X25), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_Zero__not__Suc)). 8.92/9.15 fof(fact_sum__case__KK, axiom, ![X14, X1, X11, X2, X12]:X1=hAPP(c_Sum__Type_Osum_Osum__case(X12,X2,X11,hAPP(c_COMBK(X2,X12),X1),hAPP(c_COMBK(X2,X11),X1)),X14), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_sum__case__KK)). 8.92/9.15 fof(fact_Compl__UNIV__eq, axiom, ![X2]:hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X2,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(X2,tc_HOL_Obool)))=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_Compl__UNIV__eq)). 8.92/9.15 fof(fact_add__Suc__right, axiom, ![X24, X25]:hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X25),X24))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X25),hAPP(c_Nat_OSuc,X24)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_add__Suc__right)). 8.92/9.15 fof(help_c__fNot__1, axiom, ![X21]:(~(hBOOL(X21))|~(hBOOL(hAPP(c_fNot,X21)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', help_c__fNot__1)). 8.92/9.15 fof(help_c__COMBI__1, axiom, ![X183, X4]:hAPP(c_COMBI(X4),X183)=X183, file('/export/starexec/sandbox/benchmark/theBenchmark.p', help_c__COMBI__1)). 8.92/9.15 fof(help_c__COMBB__1, axiom, ![X37, X117, X21, X11, X2, X12]:hAPP(hAPP(hAPP(c_COMBB(X12,X2,X11),X21),X117),X37)=hAPP(X21,hAPP(X117,X37)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', help_c__COMBB__1)). 8.92/9.15 fof(fact_Nat_Oadd__0__right, axiom, ![X25]:hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X25),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=X25, file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_Nat_Oadd__0__right)). 8.92/9.15 fof(fact_Suc__n__not__n, axiom, ![X24]:hAPP(c_Nat_OSuc,X24)!=X24, file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_Suc__n__not__n)). 8.92/9.15 fof(c_0_21, plain, ![X7267]:hAPP(c_Set_OCollect(X7267),hAPP(c_COMBK(tc_HOL_Obool,X7267),c_fFalse))=c_Orderings_Obot__class_Obot(tc_fun(X7267,tc_HOL_Obool)), inference(variable_rename,[status(thm)],[fact_empty__def])). 8.92/9.15 fof(c_0_22, plain, ![X15426, X15427]:hAPP(c_Set_OCollect(X15427),X15426)=X15426, inference(variable_rename,[status(thm)],[fact_Collect__def])). 8.92/9.15 fof(c_0_23, plain, ![X12465, X12466]:hAPP(c_Set_OCollect(X12466),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X12466),c_fNot),X12465))=hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X12466,tc_HOL_Obool)),hAPP(c_Set_OCollect(X12466),X12465)), inference(variable_rename,[status(thm)],[fact_Collect__neg__eq])). 8.92/9.15 fof(c_0_24, plain, ![X9364, X9365, X9366, X9367]:hAPP(c_Set_OCollect(X9367),hAPP(hAPP(c_COMBB(X9366,tc_HOL_Obool,X9367),X9364),X9365))=hAPP(c_Set_Ovimage(X9367,X9366,X9365),hAPP(c_Set_OCollect(X9366),X9364)), inference(variable_rename,[status(thm)],[fact_vimage__Collect__eq])). 8.92/9.15 fof(c_0_25, plain, ![X6023, X6024, X6025, X6023, X6024]:((hAPP(c_Set_OCollect(X6024),X6023)!=c_Orderings_Obot__class_Obot(tc_fun(X6024,tc_HOL_Obool))|~hBOOL(hAPP(X6023,X6025)))&(hBOOL(hAPP(X6023,esk190_1(X6023)))|hAPP(c_Set_OCollect(X6024),X6023)=c_Orderings_Obot__class_Obot(tc_fun(X6024,tc_HOL_Obool)))), inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_Collect__empty__eq])])])])])])])). 8.92/9.15 fof(c_0_26, plain, ![X3254, X3255, X3256, X3257]:hAPP(hAPP(c_COMBK(X3257,X3256),X3255),X3254)=X3255, inference(variable_rename,[status(thm)],[help_c__COMBK__1])). 8.92/9.15 cnf(c_0_27, plain, (hAPP(c_Set_OCollect(X1),hAPP(c_COMBK(tc_HOL_Obool,X1),c_fFalse))=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))), inference(split_conjunct,[status(thm)],[c_0_21])). 8.92/9.15 cnf(c_0_28, plain, (hAPP(c_Set_OCollect(X1),X2)=X2), inference(split_conjunct,[status(thm)],[c_0_22])). 8.92/9.15 fof(c_0_29, plain, ![X6521, X6522]:hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X6522,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X6522,tc_HOL_Obool)),X6521))=X6521, inference(variable_rename,[status(thm)],[fact_double__complement])). 8.92/9.15 cnf(c_0_30, plain, (hAPP(c_Set_OCollect(X1),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X1),c_fNot),X2))=hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X1,tc_HOL_Obool)),hAPP(c_Set_OCollect(X1),X2))), inference(split_conjunct,[status(thm)],[c_0_23])). 8.92/9.15 fof(c_0_31, plain, ![X16936, X16937]:hAPP(c_Set_Ovimage(X16937,X16937,c_COMBI(X16937)),X16936)=X16936, inference(variable_rename,[status(thm)],[fact_vimage__ident])). 8.92/9.15 cnf(c_0_32, plain, (hAPP(c_Set_OCollect(X1),hAPP(hAPP(c_COMBB(X2,tc_HOL_Obool,X1),X3),X4))=hAPP(c_Set_Ovimage(X1,X2,X4),hAPP(c_Set_OCollect(X2),X3))), inference(split_conjunct,[status(thm)],[c_0_24])). 8.92/9.15 fof(c_0_33, plain, ![X455]:hAPP(c_Set_OCollect(X455),hAPP(c_COMBK(tc_HOL_Obool,X455),c_fTrue))=c_Orderings_Otop__class_Otop(tc_fun(X455,tc_HOL_Obool)), inference(variable_rename,[status(thm)],[fact_UNIV__def])). 8.92/9.15 fof(c_0_34, plain, ![X2255, X2256]:(X2256!=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2256),X2255)|c_Groups_Ozero__class_Ozero(tc_Nat_Onat)=X2255), inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__eq__self__zero])])])])). 8.92/9.15 cnf(c_0_35, plain, (c_Groups_Ozero__class_Ozero(tc_Nat_Onat)=hAPP(c_Int_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint))), inference(split_conjunct,[status(thm)],[fact_transfer__nat__int__numerals_I1_J])). 8.92/9.15 cnf(c_0_36, plain, (c_Int_OPls=c_Groups_Ozero__class_Ozero(tc_Int_Oint)), inference(split_conjunct,[status(thm)],[fact_Pls__def])). 8.92/9.15 fof(c_0_37, plain, ![X7626]:c_Groups_Ozero__class_Ozero(tc_Nat_Onat)!=hAPP(c_Nat_OSuc,X7626), inference(variable_rename,[status(thm)],[fact_Zero__not__Suc])). 8.92/9.15 fof(c_0_38, plain, ![X9143, X9144, X9145, X9146, X9147]:X9144=hAPP(c_Sum__Type_Osum_Osum__case(X9147,X9146,X9145,hAPP(c_COMBK(X9146,X9147),X9144),hAPP(c_COMBK(X9146,X9145),X9144)),X9143), inference(variable_rename,[status(thm)],[fact_sum__case__KK])). 8.92/9.15 cnf(c_0_39, plain, (hBOOL(hAPP(X1,esk190_1(X1)))|hAPP(c_Set_OCollect(X2),X1)=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))), inference(split_conjunct,[status(thm)],[c_0_25])). 8.92/9.15 cnf(c_0_40, plain, (hAPP(hAPP(c_COMBK(X1,X2),X3),X4)=X3), inference(split_conjunct,[status(thm)],[c_0_26])). 8.92/9.15 cnf(c_0_41, plain, (hAPP(c_COMBK(tc_HOL_Obool,X1),c_fFalse)=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))), inference(rw,[status(thm)],[c_0_27, c_0_28])). 8.92/9.15 cnf(c_0_42, plain, (hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X1,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X1,tc_HOL_Obool)),X2))=X2), inference(split_conjunct,[status(thm)],[c_0_29])). 8.92/9.15 cnf(c_0_43, plain, (hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X1,tc_HOL_Obool)),X2)=hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X1),c_fNot),X2)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_30, c_0_28]), c_0_28])). 8.92/9.15 cnf(c_0_44, plain, (hAPP(c_Set_Ovimage(X1,X1,c_COMBI(X1)),X2)=X2), inference(split_conjunct,[status(thm)],[c_0_31])). 8.92/9.15 cnf(c_0_45, plain, (hAPP(c_Set_Ovimage(X1,X2,X3),X4)=hAPP(hAPP(c_COMBB(X2,tc_HOL_Obool,X1),X4),X3)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_32, c_0_28]), c_0_28])). 8.92/9.15 fof(c_0_46, plain, ![X4629]:hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X4629,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(X4629,tc_HOL_Obool)))=c_Orderings_Obot__class_Obot(tc_fun(X4629,tc_HOL_Obool)), inference(variable_rename,[status(thm)],[fact_Compl__UNIV__eq])). 8.92/9.15 cnf(c_0_47, plain, (hAPP(c_Set_OCollect(X1),hAPP(c_COMBK(tc_HOL_Obool,X1),c_fTrue))=c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))), inference(split_conjunct,[status(thm)],[c_0_33])). 8.92/9.15 cnf(c_0_48, plain, (c_Groups_Ozero__class_Ozero(tc_Nat_Onat)=X2|X1!=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)), inference(split_conjunct,[status(thm)],[c_0_34])). 8.92/9.15 cnf(c_0_49, plain, (c_Groups_Ozero__class_Ozero(tc_Nat_Onat)=hAPP(c_Int_Onat,c_Int_OPls)), inference(rw,[status(thm)],[c_0_35, c_0_36])). 8.92/9.15 fof(c_0_50, plain, ![X13154, X13155]:hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X13155),X13154))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X13155),hAPP(c_Nat_OSuc,X13154)), inference(variable_rename,[status(thm)],[fact_add__Suc__right])). 8.92/9.15 cnf(c_0_51, plain, (c_Groups_Ozero__class_Ozero(tc_Nat_Onat)!=hAPP(c_Nat_OSuc,X1)), inference(split_conjunct,[status(thm)],[c_0_37])). 8.92/9.15 fof(c_0_52, plain, ![X2063]:(~hBOOL(X2063)|~hBOOL(hAPP(c_fNot,X2063))), inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[help_c__fNot__1])])). 8.92/9.15 cnf(c_0_53, plain, (X1=hAPP(c_Sum__Type_Osum_Osum__case(X2,X3,X4,hAPP(c_COMBK(X3,X2),X1),hAPP(c_COMBK(X3,X4),X1)),X5)), inference(split_conjunct,[status(thm)],[c_0_38])). 8.92/9.15 cnf(c_0_54, plain, (X1=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))|hBOOL(hAPP(X1,esk190_1(X1)))), inference(rw,[status(thm)],[c_0_39, c_0_28])). 8.92/9.15 cnf(c_0_55, plain, (hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)),X2)=c_fFalse), inference(spm,[status(thm)],[c_0_40, c_0_41])). 8.92/9.15 fof(c_0_56, plain, ![X5267, X5268]:hAPP(c_COMBI(X5268),X5267)=X5267, inference(variable_rename,[status(thm)],[help_c__COMBI__1])). 8.92/9.15 cnf(c_0_57, plain, (hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X1),c_fNot),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X1),c_fNot),X2))=X2), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_42, c_0_43]), c_0_43])). 8.92/9.15 cnf(c_0_58, plain, (hAPP(hAPP(c_COMBB(X1,tc_HOL_Obool,X1),X2),c_COMBI(X1))=X2), inference(rw,[status(thm)],[c_0_44, c_0_45])). 8.92/9.15 fof(c_0_59, plain, ![X3966, X3967, X3968, X3969, X3970, X3971]:hAPP(hAPP(hAPP(c_COMBB(X3971,X3970,X3969),X3968),X3967),X3966)=hAPP(X3968,hAPP(X3967,X3966)), inference(variable_rename,[status(thm)],[help_c__COMBB__1])). 8.92/9.15 cnf(c_0_60, plain, (hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X1,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)))=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))), inference(split_conjunct,[status(thm)],[c_0_46])). 8.92/9.15 cnf(c_0_61, plain, (hAPP(c_COMBK(tc_HOL_Obool,X1),c_fTrue)=c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))), inference(rw,[status(thm)],[c_0_47, c_0_28])). 8.92/9.15 cnf(c_0_62, plain, (hAPP(c_Int_Onat,c_Int_OPls)=X1|hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X1)!=X2), inference(rw,[status(thm)],[c_0_48, c_0_49])). 8.92/9.15 cnf(c_0_63, plain, (hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),hAPP(c_Nat_OSuc,X2))), inference(split_conjunct,[status(thm)],[c_0_50])). 8.92/9.15 cnf(c_0_64, plain, (hAPP(c_Int_Onat,c_Int_OPls)!=hAPP(c_Nat_OSuc,X1)), inference(rw,[status(thm)],[c_0_51, c_0_49])). 8.92/9.15 fof(c_0_65, plain, ![X5411]:hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X5411),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=X5411, inference(variable_rename,[status(thm)],[fact_Nat_Oadd__0__right])). 8.92/9.15 cnf(c_0_66, plain, (~hBOOL(X1)|~hBOOL(hAPP(c_fNot,X1))), inference(split_conjunct,[status(thm)],[c_0_52])). 8.92/9.15 cnf(c_0_67, plain, (c_fFalse=X1|hBOOL(X1)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53, c_0_54]), c_0_55]), c_0_53])). 8.92/9.15 cnf(c_0_68, plain, (hAPP(c_COMBI(X1),X2)=X2), inference(split_conjunct,[status(thm)],[c_0_56])). 8.92/9.15 cnf(c_0_69, plain, (c_COMBI(tc_HOL_Obool)=hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_HOL_Obool),c_fNot),c_fNot)), inference(spm,[status(thm)],[c_0_57, c_0_58])). 8.92/9.15 cnf(c_0_70, plain, (hAPP(hAPP(hAPP(c_COMBB(X1,X2,X3),X4),X5),X6)=hAPP(X4,hAPP(X5,X6))), inference(split_conjunct,[status(thm)],[c_0_59])). 8.92/9.15 cnf(c_0_71, plain, (hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X1),c_fNot),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)))=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))), inference(rw,[status(thm)],[c_0_60, c_0_43])). 8.92/9.15 cnf(c_0_72, plain, (hAPP(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)),X2)=c_fTrue), inference(spm,[status(thm)],[c_0_40, c_0_61])). 8.92/9.15 cnf(c_0_73, plain, (hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2))!=X1), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_62, c_0_63]), c_0_64])). 8.92/9.15 cnf(c_0_74, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=X1), inference(split_conjunct,[status(thm)],[c_0_65])). 8.92/9.15 cnf(c_0_75, plain, (hAPP(c_fNot,X1)=c_fFalse|~hBOOL(X1)), inference(spm,[status(thm)],[c_0_66, c_0_67])). 8.92/9.15 cnf(c_0_76, plain, (hAPP(c_fNot,hAPP(c_fNot,X1))=X1), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68, c_0_69]), c_0_70])). 8.92/9.15 cnf(c_0_77, plain, (hAPP(c_fNot,c_fTrue)=c_fFalse), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70, c_0_71]), c_0_55]), c_0_72])). 8.92/9.15 cnf(c_0_78, plain, (hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)))!=X1), inference(spm,[status(thm)],[c_0_73, c_0_63])). 8.92/9.15 cnf(c_0_79, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),hAPP(c_Int_Onat,c_Int_OPls))=X1), inference(rw,[status(thm)],[c_0_74, c_0_49])). 8.92/9.15 cnf(c_0_80, plain, (hAPP(c_fNot,X1)=c_fFalse|c_fFalse=X1), inference(spm,[status(thm)],[c_0_75, c_0_67])). 8.92/9.15 cnf(c_0_81, plain, (hAPP(c_fNot,c_fFalse)=c_fTrue), inference(spm,[status(thm)],[c_0_76, c_0_77])). 8.92/9.15 cnf(c_0_82, plain, (hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,X1))!=X1), inference(spm,[status(thm)],[c_0_78, c_0_79])). 8.92/9.15 cnf(c_0_83, plain, (c_fFalse=X1|c_fTrue=X1), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76, c_0_80]), c_0_81])). 8.92/9.15 cnf(c_0_84, plain, (hAPP(c_Nat_OSuc,X1)=c_fFalse|hAPP(c_Nat_OSuc,c_fTrue)!=X1), inference(spm,[status(thm)],[c_0_82, c_0_83])). 8.92/9.15 cnf(c_0_85, plain, (hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_fTrue))=c_fFalse), inference(er,[status(thm)],[c_0_84])). 8.92/9.15 fof(c_0_86, plain, ![X4243]:hAPP(c_Nat_OSuc,X4243)!=X4243, inference(variable_rename,[status(thm)],[fact_Suc__n__not__n])). 8.92/9.15 cnf(c_0_87, plain, (hAPP(c_Nat_OSuc,c_fTrue)=c_fFalse), inference(spm,[status(thm)],[c_0_85, c_0_83])). 8.92/9.15 cnf(c_0_88, plain, (hAPP(c_Nat_OSuc,X1)!=X1), inference(split_conjunct,[status(thm)],[c_0_86])). 8.92/9.15 cnf(c_0_89, plain, ($false), inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_85, c_0_87]), c_0_88]), ['proof']). 8.92/9.15 # SZS output end CNFRefutation 8.92/9.15 # Proof object total steps : 90 8.92/9.15 # Proof object clause steps : 50 8.92/9.15 # Proof object formula steps : 40 8.92/9.15 # Proof object conjectures : 0 8.92/9.15 # Proof object clause conjectures : 0 8.92/9.15 # Proof object formula conjectures : 0 8.92/9.15 # Proof object initial clauses used : 21 8.92/9.15 # Proof object initial formulas used : 21 8.92/9.15 # Proof object generating inferences : 16 8.92/9.15 # Proof object simplifying inferences : 24 8.92/9.15 # Training examples: 0 positive, 0 negative 8.92/9.15 # Parsed axioms : 5222 8.92/9.15 # Removed by relevancy pruning/SinE : 0 8.92/9.15 # Initial clauses : 7564 8.92/9.15 # Removed in clause preprocessing : 260 8.92/9.15 # Initial clauses in saturation : 7304 8.92/9.15 # Processed clauses : 22788 8.92/9.15 # ...of these trivial : 463 8.92/9.15 # ...subsumed : 9724 8.92/9.15 # ...remaining for further processing : 12601 8.92/9.15 # Other redundant clauses eliminated : 304 8.92/9.15 # Clauses deleted for lack of memory : 0 8.92/9.15 # Backward-subsumed : 112 8.92/9.15 # Backward-rewritten : 692 8.92/9.15 # Generated clauses : 254508 8.92/9.15 # ...of the previous two non-trivial : 245883 8.92/9.15 # Contextual simplify-reflections : 472 8.92/9.15 # Paramodulations : 254022 8.92/9.15 # Factorizations : 8 8.92/9.15 # Equation resolutions : 481 8.92/9.15 # Propositional unsat checks : 0 8.92/9.15 # Propositional check models : 0 8.92/9.15 # Propositional check unsatisfiable : 0 8.92/9.15 # Propositional clauses : 0 8.92/9.15 # Propositional clauses after purity: 0 8.92/9.15 # Propositional unsat core size : 0 8.92/9.15 # Current number of processed clauses : 5738 8.92/9.15 # Positive orientable unit clauses : 1568 8.92/9.15 # Positive unorientable unit clauses: 120 8.92/9.15 # Negative unit clauses : 1727 8.92/9.15 # Non-unit-clauses : 2323 8.92/9.15 # Current number of unprocessed clauses: 202775 8.92/9.15 # ...number of literals in the above : 393702 8.92/9.15 # Current number of archived formulas : 0 8.92/9.15 # Current number of archived clauses : 6808 8.92/9.15 # Clause-clause subsumption calls (NU) : 4928992 8.92/9.15 # Rec. Clause-clause subsumption calls : 2374802 8.92/9.15 # Non-unit clause-clause subsumptions : 4512 8.92/9.15 # Unit Clause-clause subsumption calls : 361394 8.92/9.15 # Rewrite failures with RHS unbound : 244 8.92/9.15 # BW rewrite match attempts : 45010 8.92/9.15 # BW rewrite match successes : 1511 8.92/9.15 # Condensation attempts : 0 8.92/9.15 # Condensation successes : 0 8.92/9.15 # Termbank termtop insertions : 8113747 8.92/9.18 8.92/9.18 # ------------------------------------------------- 8.92/9.18 # User time : 8.721 s 8.92/9.18 # System time : 0.221 s 8.92/9.18 # Total time : 8.942 s 8.92/9.18 # Maximum resident set size: 10992 pages 8.92/9.18 EOF